Adding Fractions: 1/4 + 1/12
When adding fractions, we need to follow certain rules to get the correct answer. In this article, we will explore how to add 1/4 and 1/12 as a fraction.
Step 1: Find the Least Common Multiple (LCM)
To add fractions, we need to find the least common multiple (LCM) of the denominators, which are 4 and 12. The LCM of 4 and 12 is 12.
Step 2: Convert the Fractions
Now, we need to convert both fractions to have a denominator of 12.
- 1/4 = 3/12 (multiply numerator and denominator by 3)
- 1/12 = 1/12 (no change needed)
Step 3: Add the Fractions
Now that we have converted both fractions to have the same denominator, we can add them:
3/12 + 1/12 = 4/12
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 4.
4/12 = 1/3
Therefore, 1/4 + 1/12 as a fraction is 1/3.
This article demonstrates the step-by-step process of adding fractions with different denominators. By finding the least common multiple, converting the fractions, and adding them, we can simplify the result to get the correct answer.